\newproblem{lay:1_3_5}{
   % Problem identification
	 \begin{large}
 	   \hspace{\fill}\newline
     \textbf{Lay, 1.3.5}
	 \end{large}
	 \\
   \ifthenelse{\boolean{identifyAuthor}}{\textit{Yolanda Manrique Marcos, Dec. 17th, 2013} \\}{}

   % Problem statement
   Write an equation system that is equivalent to the vector equation:
	 \begin{center}
		  $x_1\begin{pmatrix}3 \\ -2 \\8 \end{pmatrix}+x_2\begin{pmatrix}5 \\ 0 \\-9 \end{pmatrix}=\begin{pmatrix}2 \\ -3 \\8 \end{pmatrix}$
	 \end{center}
}{
   % Solution
	We may write the following equation system (in matrix form):
	\begin{center}
		$\begin{pmatrix}3 & 5 \\ -2 & 0 \\ 8 & -9 \end{pmatrix}\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}=\begin{pmatrix}2 \\ -3 \\8 \end{pmatrix}$
	\end{center}
}

\useproblem{lay:1_3_5}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}